107077242636 has 144 divisors (see below), whose sum is σ = 333856531008. Its totient is φ = 28178496000.

The previous prime is 107077242617. The next prime is 107077242641. The reversal of 107077242636 is 636242770701.

107077242636 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 7 + 7 + 2 + 4 + 2 + 636 = 666.

It is a super-2 number, since 2×107077242636² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107077242591 and 107077242600.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1474786 + ... + 1545686.

It is an arithmetic number, because the mean of its divisors is an integer number (2318448132).

Almost surely, 2^107077242636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107077242636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166928265504).

107077242636 is an abundant number, since it is smaller than the sum of its proper divisors (226779288372).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107077242636 is a wasteful number, since it uses less digits than its factorization.

107077242636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71392 (or 71387 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 107077242636 in words is "one hundred seven billion, seventy-seven million, two hundred forty-two thousand, six hundred thirty-six".